12910936758720 has 2688 divisors, whose sum is σ = 59937296025600. Its totient is φ = 2312399093760.

The previous prime is 12910936758641. The next prime is 12910936758773. The reversal of 12910936758720 is 2785763901921.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 101660919297 + ... + 101660919423.

It is an arithmetic number, because the mean of its divisors is an integer number (22298101200).

Almost surely, 2^{12910936758720} is an apocalyptic number.

12910936758720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12910936758720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29968648012800).

12910936758720 is an abundant number, since it is smaller than the sum of its proper divisors (47026359266880).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12910936758720 is a wasteful number, since it uses less digits than its factorization.

12910936758720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 336 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 12910936758720 in words is "twelve trillion, nine hundred ten billion, nine hundred thirty-six million, seven hundred fifty-eight thousand, seven hundred twenty".